Solve {l}{x^2+x}{*x^3}

$$\left. \begin{array} { l } { x ^ { 2 } + x } \\ { * x ^ { 3 } } \end{array} \right.$$

Factor

$$x^{2}\left(x^{2}+1\right)$$

Solution Steps

Factor out x.

$$x\left(x+x^{3}\right)$$

Consider x+x^{3}. Factor out x.

$$x\left(1+x^{2}\right)$$

Rewrite the complete factored expression. Polynomial 1+x^{2} is not factored since it does not have any rational roots.

$$xx\left(1+x^{2}\right)$$

Evaluate

$$x^{4}+x^{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$x^{2}+x^{4}$$